Email this article Optimal Control of the Rigid Inclusion Size in the Problem of Equilibrium of Inhomogeneous Timoshenko Type Plates Containing Cracks
- Authors: Lazarev N.P.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics SB RAS
- Research Institute of Mathematics of the Ammosov North-Eastern Federal University, 48, Kulakovskogo St.
- Issue: Vol 228, No 4 (2018)
- Pages: 409-420
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240263
- DOI: https://doi.org/10.1007/s10958-017-3631-x
- ID: 240263
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Abstract
We consider the equilibrium problem for plates with cracks located along rigid inclusions and analyze the dependence of the solution and the derivative of the energy functional on variations of the inclusion size. We establish the solvability of the optimal control problem, where the quality functional is given by the derivative of the energy functional, whereas the control parameter correspond to the inclusion size. A similar analysis is performed for the equilibrium problems for inhomogeneous plates with rigid delaminated inclusions.
About the authors
N. P. Lazarev
Lavrent’ev Institute of Hydrodynamics SB RAS; Research Institute of Mathematics of the Ammosov North-Eastern Federal University, 48, Kulakovskogo St.
Author for correspondence.
Email: nyurgun@ngs.ru
Russian Federation, 15, pr. Akad. Lavrent’eva, Novosibirsk, 630090; Yakutsk, 677000
